Polynomials

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A polynomial in one variable is an algebraic expression in which the variable has only whole number exponents. Example: 3x² + 2x - 5, where x is the variable and exponents are 2, 1, and 0 (all whole n

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The terms are: 4x³, -2x², 7x, and -3. Each term is separated by + or - signs.

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Coefficient of x³: 5 Coefficient of x²: -3 Coefficient of x: 2 Constant term: -7 (coefficient of x⁰)

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The degree is 4, which is the highest power of the variable x in the polynomial.

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Monomial: Polynomial with one term (e.g., 5x²) Binomial: Polynomial with two terms (e.g., 3x + 2) Trinomial: Polynomial with three terms (e.g., x² + 3x - 4)

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Linear polynomial: Degree 1 (e.g., 2x + 3) Quadratic polynomial: Degree 2 (e.g., x² + 5x + 6) Cubic polynomial: Degree 3 (e.g., x³ - 2x² + x - 4)

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ax² + bx + c, where a ≠ 0 and a, b, c are constants. It can have at most 3 terms.

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A zero of polynomial p(x) is a value 'a' such that p(a) = 0. Example: For p(x) = x - 2, the zero is 2 because p(2) = 2 - 2 = 0.